Quadratic Function solved by my 2D-FOA

Example: My modified 2D-FOA is used to find the maximal value of the following quadratic equation:

f(x)= 7+ (x+10)^2

The optimal value of f(x) is 7, where x= -10.

   The evolutionary paths of the best solution (f(x)), best 2-D location (Xbest,Ybest), best x-value (Sbest), and best distance (Dbest) for this function by the modified 2D-FOA are shown respectively in Figure 7. Figure 7(a) displays the curve of 2-D iterative search; it gradually approaches the maximal value 7. The curve of 2-D iterative searching of best axes (Xbest = 8.45, Ybest = 11.02) is also shown in Figure 7(b). The Figure 7(c) expresses the best curve of iterative search for optimal x-value, and it gradually approaches -10 (Sbest). Finally, the evolutionary path of the best distance (Dbest = 14.15) is shown in Figure 7(d).

Find the maximal value of a quadratic function by the modified 2D-FOA

 Soochow University EMA